A key requirement of quantum computing is the on-demand generation and coherent manipulation of quantum states. From a practical perspective, the ability to implement these operations using chip-scale integrated circuits is highly desired, as it would open up the capability to fully leverage the many advantages of the mature microelectronics industry. However, a fundamental barrier to solid-state quantum computing has long been understood to arise from the role of phonons. At nonzero temperatures, these bosonic modes can be occupied with broad distributions of energy and momentum, allowing them to function as an efficient “bath” whose many degrees of freedom can efficiently randomize (or decohere) quantum information. Although the manner in which a densely populated phonon bath destroys quantum coherence has long been understood, it has only recently become appreciated that phonons may instead provide an effective means of transmitting quantum information when excited coherently in sufficiently small numbers [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}. The strong coupling of phonons to other quasiparticles (especially electrons or photons) makes them well suited to this task. Furthermore, the physical patterning of bulk crystals can be exploited to implement phononic crystals  [8]}, [9]}, [10]}, in strong analogy with their photonic counterparts, or to realize resonant structures that can be selectively coupled to single quanta  [11]}, [12]}. Various schemes for phonon-mediated quantum transduction have been proposed [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, and phonons have also been suggested as a means of mediating quantum entanglement  [20]}. In other work, the development of phononic circuits for applications in quantum sensing and signal processing has been emphasized [21]}, [22]}. Stark shift measurements as a function of the number of phonons [23]} have been demonstrated and are based on the real part of the electron-phonon self-energy. Other phonon detection schemes use optomechanical response [24]}, including the famous LIGO gravitational wave interferometer [25]}. In contrast to these different approaches, a phonon-drag detection scheme is proposed that utilizes a 2D material platform and which takes advantage of the imaginary part of the self-energy, leading to high detection efficiency and simplicity of implementation.
